15 citations · 19 across the 4 of their papers we have counts for
6 papers · 1 filter
Radial index and Euler obstruction of a 1-form on a singular variety
W. Ebeling, S. M. Gusein-Zade
A notion of the radial index of an isolated singular point of a 1-form on a singular (real or complex) variety is discussed. For the differential of a function it is related to the…
On the arc filtration for the singularities of Arnold's lists
W. Ebeling, S. M. Gusein-Zade
In a previous paper, the authors introduced a filtration on the ring of germs of functions on a germ of a complex analytic variety defined by arcs on the s…
Integrals with respect to the Euler characteristic over spaces of functions and the Alexander polynomial
A. Campillo, F. Delgado, S. M. Gusein-Zade
We discuss some formulae which express the Alexander polynomial (and thus the zeta-function of the classical monodromy transformation) of a plane curve singularity in terms of the…
The Alexander polynomial of a plane curve singularity via the ring of functions on it
A. Campillo, F. Delgado, S. M. Gusein-Zade
We prove two formulae which express the Alexander polynomial of several variables of a plane curve singularity in terms of the ring of germs of analytic fu…
Integration with respect to Euler characteristic over the projectivization of the space of functions and the Alexander polynomial of a plane curve singularity
A. Campillo, F. Delgado, S. M. Gusein-Zade
We discuss a notion of integration with respect to the Euler characteristic in the projectivization $¶{\cal O}_{\C^n,0}$ of the ring ${\cal O}_{\C^n,0}$ of germs of functions on $C…
The Alexander polynomial of a plane curve singularity and the ring of functions on it
A. Campillo, F. Delgado, S. M. Gusein-Zade
We give two formulae which express the Alexander polynomial of several variables of a plane curve singularity in terms of the ring of germs of analytic fun…